Algebra Seminar

Laumon resolutions and quiver varieties

Michael Finkelberg

Friday November 6, 12:05--12:55pm, Carslaw 375

Abstract

Laumon moduli spaces parametrize certain parabolic torsion free sheaves on the projective plane. They are semismall resolutions of Drinfeld compactifications of the mapping spaces from P^1 to certain flag varieties. They are important objects of geometric representation theory, playing a prominent role in the computation of quantum cohomology of flag varieties, in the construction of the affine Gelfand-Tsetlin base, etc. We advocate a new viewpoint on them from the perspective of quiver varieties, allowing to prove the normality of Drinfeld compactifications, and to construct many more resolutions connected by sequences of flops.